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Finding the Fourth Proportional to 597.87, 896.74 and 208.08

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Solution

The fourth proportional to 597.87, 896.74 and 208.08 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.87 : 896.74 = 208.08 : x
  2. Step 2: Convert to fraction form
    597.87/896.74 = 208.08/x
  3. Step 3: Cross multiply
    597.87x = 896.74 × 208.08
  4. Step 4: Simplify right side
    597.87x = 186,593.14
  5. Step 5: Solve for x
    x = 186,593.14/597.87
  6. Step 6: Final answer
    x = 312.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.